Finding the Third Proportional to 322,760,789,120 and 706,322,635,880
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Solution
The third proportional to 322,760,789,120 and 706,322,635,880 is: 1,545,700,973,518.77
Step by Step Solution
- Step 1: Write the proportion equation
322,760,789,120 : 706,322,635,880 = 706,322,635,880 : x - Step 2: Convert to fraction form
322,760,789,120/706,322,635,880 = 706,322,635,880/x - Step 3: Cross multiply
322,760,789,120x = 706,322,635,880 × 706,322,635,880 - Step 4: Simplify right side
322,760,789,120x = 498,891,665,956,471,031,463,936 - Step 5: Solve for x
x = 498,891,665,956,471,031,463,936/322,760,789,120 - Step 6: Final answer
x = 1,545,700,973,518.77
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.